Atkin-Lehner |
2- 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20292h |
Isogeny class |
Conductor |
20292 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-11455860207024 = -1 · 24 · 32 · 197 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -5 -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6621,261468] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:21:1] [24:342:1] |
Generators of the group modulo torsion |
j |
-2006504254603264/715991262939 |
j-invariant |
L |
7.6652717812962 |
L(r)(E,1)/r! |
Ω |
0.67509512937505 |
Real period |
R |
0.27034185708343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168bh1 60876s1 |
Quadratic twists by: -4 -3 |